The original mechanism of Fano resonance spectrum dip resulting from the system of metallic multinanoparticles-thin film belonging to C3v and C4v is deduced in detail using group theory. Based on our previous study, this paper verifies that there is only four LSPP electric dipole moment resonant modes in the system of Cnv mutinanoparticles-thin film according with the same irreducible representation E when illuminated by linearly polarized light: only three of them lie in the plane where the multiparticles locate, and among them, the ring-particles own two, the central particle is one. These results are completely the same with that of Dnh. The direction of the electric dipolar moments is perpendicular to the multiparticles plane although the last one has the same symmetry with the other three, and it is not applied usually to the experimental study or application of surface plasmon resonance relative to the other three. In addition, the systems of metallic nanoparticles-thin film belonging to Cnv and the metallic nanoparticles belonging to Dnh point groups hold the similar spectrum lineshape, however, there is some redshift or blueshift of spectrum dip(peak) in the system of nanoparticles-thin film if the thin film exists. This work can provide some references for designing the optical properties and its extended applications about the system of metallic multinanoparticles-thin film.
Group Theory Analyses of Fano Resonance Spectra in the System of C3v and C4v Metallic Multinanoparticles-Thin Film, Optics.
Vol. 7, No. 1,
2018, pp. 54-60.
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